Radicals and Quadratics Test Prep

Solving Quadratic Equations 1

100

2x²=18

x=+/- 3

200

4a²=-16

What is 

no solution

300

3m^2-81=0

What is 

m= + -3sqrt3

400

(2x+9)^2=225

What is

x=3, -12

500

3(x-2)^2=21

What is 

x=2+sqrt(7), 2-sqrt(7)

Solving Quadratic Equations 2

100

2x(x-10)=0

x=10, 0

200

x^2-12x+27=0

x=9, 3

300

3p^2+17p=-10

r=-5, -2/3

400

Originally a rectangle was 8 cm by 17 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 66 cm^2. Find the dimensions of the new rectangle. 

14 cm x 5 cm

500

The sum of the squares of two consecutive negative odd integers is 130. Find the integers. 

-9, -7

Solving Radical Equations

100

sqrt(x)=15

What is 

x=225

200

12=sqrt(3a)

x=48

300

sqrt(7x+1)=8

x=9

400

sqrt(y)=3sqrt(2)

y=18

500

10=7+sqrt(2m-1)

What is 

m=5

Rationalizing the Denominator

100

5/sqrt(2x)

What is 

(5sqrt(2x))/(2x)

200

1/(3+sqrt(2))

What is 

(3-sqrt(2))/5

300

2/(3+sqrt(5))

What is 

(6-2sqrt(5))/4

400

4/(sqrt(2a)+sqrt(2b))

What is 

(2sqrt(2a)-2sqrt(2b))/(a-b)

500

(2-sqrt(3))/(1+sqrt(2))

What is

2sqrt(2)+sqrt(3)-sqrt(6)-2

Operations with Radicals

100

(3x+sqrt(6))(4-sqrt(3x))

What is 

12x+(3xsqrt(3x))+4sqrt(6)-3sqrt(2x)

200

(4+sqrt(5))^2

What is 

21+(8sqrt(5))

300

2sqrt(3)+sqrt(75)

What is 

7sqrt(3)

400

sqrt(32)-sqrt(8)

2sqrt(2)

500

-sqrt(98)+2sqrt(50)

3sqrt(2)